For the scatter diagram shown, which of the following best describes the relationship between the two variables if the points form a pattern that rises from left to right?
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 56m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 17m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - ExcelBonus23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - ExcelBonus28m
- Confidence Intervals for Population Means - ExcelBonus25m
- 8. Sampling Distributions & Confidence Intervals: Proportion2h 10m
- 9. Hypothesis Testing for One Sample5h 8m
- Steps in Hypothesis Testing1h 6m
- Performing Hypothesis Tests: Means1h 4m
- Hypothesis Testing: Means - ExcelBonus42m
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- Hypothesis Testing: Proportions - ExcelBonus27m
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- Link Between Confidence Intervals and Hypothesis Testing12m
- Type I & Type II Errors16m
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- Two Proportions1h 13m
- Two Proportions Hypothesis Test - ExcelBonus28m
- Two Means - Unknown, Unequal Variance1h 3m
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- Two Means - Matched Pairs (Dependent Samples)42m
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- 11. Correlation1h 24m
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- Residuals12m
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- Quadratic Regression15m
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- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA2h 29m
11. Correlation
Scatterplots & Intro to Correlation
Multiple Choice
Given several scatterplots, which of the following statements about the calculated correlation coefficient is correct?
A
A correlation coefficient close to indicates a strong linear relationship between the variables.
B
A correlation coefficient close to indicates a strong positive linear relationship between the variables.
C
A correlation coefficient close to indicates no relationship between the variables.
D
A correlation coefficient can only take positive values.
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Verified step by step guidance1
Recall that the correlation coefficient \(r\) measures the strength and direction of a linear relationship between two variables.
Understand the range of \(r\): it can take any value between \(-1\) and \$1$, inclusive.
Interpret the values of \(r\): a value close to \$1$ indicates a strong positive linear relationship, meaning as one variable increases, the other tends to increase as well.
Recognize that a value of \(r\) close to \(-1\) indicates a strong negative linear relationship, meaning as one variable increases, the other tends to decrease.
Note that a value of \(r\) close to \$0$ indicates little to no linear relationship between the variables.
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